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Finding the Fourth Proportional to 32,753.68, 49,132.20 and 9,379.50

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Solution

The fourth proportional to 32,753.68, 49,132.20 and 9,379.50 is: 14,069.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,753.68 : 49,132.20 = 9,379.50 : x
  2. Step 2: Convert to fraction form
    32,753.68/49,132.20 = 9,379.50/x
  3. Step 3: Cross multiply
    32,753.68x = 49,132.20 × 9,379.50
  4. Step 4: Simplify right side
    32,753.68x = 460,835,469.90
  5. Step 5: Solve for x
    x = 460,835,469.90/32,753.68
  6. Step 6: Final answer
    x = 14,069.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.